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1.11.2 Integrating standard functions

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Question 40

A curve has equation $y = f (x)$ , where

\frac{12}{\sqrt{x^5}} + 4x, \quad x > 0

The point $P (1, - 2)$ lies on the curve.

Given that $f^{'} (x) = 1$ at point $P$ ,

find the equation of the normal at $P$ , writing your answer in the form $y = m x + c$ , where $m$ and $c$ are constants,

[3]

find $f (x)$ .

[5]

Markscheme

1.11.2 Integrating standard functions Questions

A Level
Maths
1.11.2 Integrating standard functions

139 exam-style questions on AQA A Level Maths 1.11.2 Integrating standard functions. Each one has a worked solution and a mark scheme showing where the marks go.

1.11.2 Integrating standard functions

Question bank

1.11.2 Integrating standard functions

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Question 40

A curve has equation $y = f (x)$ , where

\frac{12}{\sqrt{x^5}} + 4x, \quad x > 0

The point $P (1, - 2)$ lies on the curve.

Given that $f^{'} (x) = 1$ at point $P$ ,

find the equation of the normal at $P$ , writing your answer in the form $y = m x + c$ , where $m$ and $c$ are constants,

[3]

find $f (x)$ .

[5]

Markscheme

1.11.2 Integrating standard functions Questions

A Level
Maths
1.11.2 Integrating standard functions

139 exam-style questions on AQA A Level Maths 1.11.2 Integrating standard functions. Each one has a worked solution and a mark scheme showing where the marks go.